FFa3PArc Class Reference

Class representing a circular arc in 3D space. More...

#include <FFa3PArc.H>

Public Member Functions
	FFa3PArc (const FaVec3 &p1, const FaVec3 &p2, const FaVec3 &p3)
	The constructor initializes the three points defining the arc. More...
FaVec3	getCenter () const
	Returns the centre point of the arc. More...
FaVec3	getNormal () const
	Returns the normal vector of the arc plane. More...
double	getRadius () const
	Returns the radius of the arc. More...
double	getArcLength (double maxDeflection=0.0) const
	Returns the length of the arc. More...
FaVec3	getPointOnArc (double lengthFromStart) const
	Returns the point a given distance from the start point. More...
FaVec3	getTangent (double lengthFromStart) const
	Returns the tangent vector at a given distance from the start. More...
FaVec3	getSecant () const
	Returns the secant vector of the arc. More...
const FaVec3 &	front () const
	Returns the start point. More...
const FaVec3 &	back () const
	Returns the end point. More...
FaMat34	getCtrlPointMatrix (int pointNumber, const FaVec3 &positiveNormal, bool normalIsSignOnly=true) const
	Returns the full position matrix for one of the arc points. More...
bool	isArc (double epsilon=1.0e-10) const
	Returns false if this arc is a straight line. More...
bool	isInside (const FaVec3 &point) const
	Returns true if given point is inside the arc. More...

Static Public Member Functions
static FFa3PArc	makeFromTangentP1P2 (const FaVec3 &t, const FaVec3 &p1, const FaVec3 &p2, bool startTan=true)
	Creates an arc from two end points and a tangent vector. More...
static FFa3PArc	makeFromP1T1T2L (const FaVec3 &p1, const FaVec3 &t1, const FaVec3 &t2, double arcLength)
	Creates an arc from an end point and two tangent vectors. More...

Private Attributes
std::array< FaVec3, 3 >	P
	The three points defining this arc. More...

Detailed Description

Class representing a circular arc in 3D space.

Mainly used to model cam joint and contact element master curves.

Constructor & Destructor Documentation

FFa3PArc()

FFa3PArc::FFa3PArc ( const FaVec3 &  p1, const FaVec3 &  p2, const FaVec3 &  p3  )

inline

The constructor initializes the three points defining the arc.

Member Function Documentation

back()

const FaVec3& FFa3PArc::back ( ) const

inline

Returns the end point.

front()

const FaVec3& FFa3PArc::front ( ) const

inline

Returns the start point.

getArcLength()

double FFa3PArc::getArcLength

(

double

maxDeflection = 0.0

)

const

Returns the length of the arc.

Returns the length along the arc that will make the sagitta (distance from the chord to the arc) maxDeflection long. If maxDeflection is zero, the total arc length is returned.

getCenter()

FaVec3 FFa3PArc::getCenter

(

)

const

Returns the centre point of the arc.

getCtrlPointMatrix()

FaMat34 FFa3PArc::getCtrlPointMatrix	(	int	pointNumber,
		const FaVec3 &	positiveNormal,
		bool	normalIsSignOnly = true
	)		const

Returns the full position matrix for one of the arc points.

getNormal()

FaVec3 FFa3PArc::getNormal

(

)

const

Returns the normal vector of the arc plane.

getPointOnArc()

FaVec3 FFa3PArc::getPointOnArc

(

double

lengthFromStart

)

const

Returns the point a given distance from the start point.

getRadius()

double FFa3PArc::getRadius

(

)

const

Returns the radius of the arc.

getSecant()

FaVec3 FFa3PArc::getSecant ( ) const

inline

Returns the secant vector of the arc.

getTangent()

FaVec3 FFa3PArc::getTangent

(

double

lengthFromStart

)

const

Returns the tangent vector at a given distance from the start.

isArc()

bool FFa3PArc::isArc

(

double

epsilon = 1.0e-10

)

const

Returns false if this arc is a straight line.

isInside()

bool FFa3PArc::isInside

(

const FaVec3 &

point

)

const

Returns true if given point is inside the arc.

makeFromP1T1T2L()

FFa3PArc FFa3PArc::makeFromP1T1T2L ( const FaVec3 &  p1, const FaVec3 &  t1, const FaVec3 &  t2, double  arcLength  )

static

Creates an arc from an end point and two tangent vectors.

makeFromTangentP1P2()

FFa3PArc FFa3PArc::makeFromTangentP1P2 ( const FaVec3 &  t, const FaVec3 &  p1, const FaVec3 &  p2, bool  startTan = true  )

static

Creates an arc from two end points and a tangent vector.

Member Data Documentation

P

std::array<FaVec3,3> FFa3PArc::P

private

The three points defining this arc.

---

The documentation for this class was generated from the following files:

• fedem-foundation/src/FFaLib/FFaAlgebra/FFa3PArc.H
• fedem-foundation/src/FFaLib/FFaAlgebra/FFa3PArc.C